By Daniel Malacara-Hernández, Zacarías Malacara-Hernández

Info the elements of advanced photographic lenses, astronomical telescopes, visible and afocal platforms and terrestrial telescopes, and lens layout optimization. Discusses geometrical optics ideas, skinny lenses and round mirrors, round aberration, and diffraction in optical platforms.

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And Slater, P. , ‘‘The Design, Construction and Testing of the Optics for the 147-cm-Aperture Telescope,’’ Optical Sciences Center Technical Report No. 79, University of Arizona, Tucson, AZ, 1972. Herzberger, M. and Hoadley, H. , ‘‘The Calculation of Aspherical Correcting Surfaces,’’ J. Opt. Soc. , 36, 334–340 (1946). , ‘‘Some Parameters and Characteristics of an Off Axis Paraboloid,’’ Opt. , 30, 1277–1280 (1991). , ‘‘An Optical Surface and Its Characteristics,’’ Appendix 1 in Optical Shop Testing, D.

8) for the aspherical surface: qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ðA4:21Þ Wn ¼ 1 À c2 S2n Now the distance ÀFn from an to bn is given by cS2n þ B1 Sn4 þ B2 S6n þ B3 Sn8 þ B4 S10 Fn ¼ Zn À n 1 þ Wn ! ¼ Zn À Z0n ðA4:22Þ The coordinates of the point anþ1 may be found only after we calculate the length ÁA0n , as illustrated in Fig. 4, but first we need the equation of the plane tangent to the aspheric surface at point bn. To find the equation of this plane let us consider the equation of the aspheric surface (eliminating for simplicity the subscript n), which is !

Optical Materials,’’ in Applied Optics and Optical Engineering, Vol. I, R. , Academic Press, San Diego, CA, 1965. Malitson, I. , ‘‘A Redetermination of Some Optical Properties of Calcium Fluoride,’’ Appl. , 2, 1103–1107 (1963). McCarthy, D. , ‘‘The Reflection and Transmission of Infrared Materials, Part 1. Spectra from 2 mm to 50 mm,’’ Appl. , 2, 591–595 (1963). McCarthy, D. , ‘‘The Reflection and Transmission of Infrared Materials, Part 2. Bibliography,’’ Appl. , 2, 596–603 (1963). McCarthy, D.

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